3782453760 has 800 divisors, whose sum is σ = 15240162960. Its totient is φ = 891813888.

The previous prime is 3782453749. The next prime is 3782453771. The reversal of 3782453760 is 673542873.

3782453760 is a `hidden beast` number, since 37 + 8 + 24 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3782453749) and next prime (3782453771).

It can be written as a sum of positive squares in 8 ways, for example, as 3010058496 + 772395264 = 54864^2 + 27792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102228462 + ... + 102228498.

Almost surely, 2^3782453760 is an apocalyptic number.

3782453760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620081480).

3782453760 is an abundant number, since it is smaller than the sum of its proper divisors (11457709200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3782453760 is a wasteful number, since it uses less digits than its factorization.

3782453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3782453760 is about 61501.6565630553. The cubic root of 3782453760 is about 1558.0852246924.

The spelling of 3782453760 in words is "three billion, seven hundred eighty-two million, four hundred fifty-three thousand, seven hundred sixty".